Pendulum waves: A model of Thomae's function
10.1119/5.0131936.1 The pendulum wave apparatus exhibits cyclic pendulum patterns, including wave-like motion and pendulums alignments. This work presents a complete analytical solution to the times and numbers of pendulum alignment, which is shown to be a subset of Thomae's function. Based on...
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| Veröffentlicht in: | American journal of physics 2023-12, Vol.91 (12), p.964-969 |
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| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 10.1119/5.0131936.1
The pendulum wave apparatus exhibits cyclic pendulum patterns, including wave-like motion and pendulums alignments. This work presents a complete analytical solution to the times and numbers of pendulum alignment, which is shown to be a subset of Thomae's function. Based on the properties of this function and basic number theory, a comprehensive analysis of pendulum patterns is presented. |
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| ISSN: | 0002-9505 1943-2909 |
| DOI: | 10.1119/5.0131936 |